1.5 = 1 1/2 = 3/2
When there is a negative exponent, you find the reciprocal of the base, so therefore: 3/2 ^ -2 = 2/3 ^ 2
Then you square the numerator, then square the denominator: 2^2/3^2 = 4/9
Answer:
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Step-by-step explanation:
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The formla of a midpoint of AB:
We have A(-3, -7) and B(-1, 1). Substitute:
<h3>Answer: M(-2, -3)</h3>
Label the 3 distinct sides of the box. I arbitrarily chose the letters a, b and c.
Use the info about areas as follows:
ab=54 in^2
ac=90 in^2
bc=60 in^2
Here you have 3 equations in 3 unknowns (a, b and c), which is enough info to use to determine a, b and c. Then the volume of the box is a*b*c.
Example: bc = 90, but c = 60/b. You could subst. 60/b for c in the 2nd and 3rd equation, which will eliminate c completely and leave you with 2 equations in 2 unknowns.
Continuing this procedure, I determined that a=9, b=6 and c=10. Thus, the volume of the box is V = 9*6*10 = 540 cubic inches (answer)
